摘要
作者定义了单位球上的解析函数α-Bloch空间以及BMOA空间,然后刻画了α-Bloch空间上Fredhoml复合算子的特征,最后利用函数的径向导数定义的Carleson测度研究了α-Bloch空间和BMOA空间之间复合算子的有界性、紧性,并得到了复合算子有界性、紧性的充分条件.
In this paper, the authors define α-Bloch spaces and BMOA spaces on the unit ball, then characters composition operators on α -Bloch spaces having Fredholm properties. In addition, the authors also give some sufficient conditions of composition operators acting from α -Bloch spaces into BMOA spaces to be bounded and compact by Carleson measure defined the radial derivative of symbols function.
出处
《四川大学学报(自然科学版)》
CAS
CSCD
北大核心
2009年第4期864-868,共5页
Journal of Sichuan University(Natural Science Edition)
基金
四川省教育厅重点项目((20072A04)